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Finding the Fourth Proportional to 27,755.64, 41,633.43 and 9,287.64

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Solution

The fourth proportional to 27,755.64, 41,633.43 and 9,287.64 is: 13,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.64 : 41,633.43 = 9,287.64 : x
  2. Step 2: Convert to fraction form
    27,755.64/41,633.43 = 9,287.64/x
  3. Step 3: Cross multiply
    27,755.64x = 41,633.43 × 9,287.64
  4. Step 4: Simplify right side
    27,755.64x = 386,676,309.81
  5. Step 5: Solve for x
    x = 386,676,309.81/27,755.64
  6. Step 6: Final answer
    x = 13,931.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.